Details

Time bar (total: 4.4s)

sample56.0ms

Algorithm
intervals
Results
22.0ms56×body1280valid
11.0ms47×body640valid
7.0ms124×body80valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.2b
(* z (cos y))
0.2b
(* x (sin y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
10.0ms
(+ (* x (sin y)) (* z (cos y)))
12.0ms
(* z (cos y))
9.0ms
(* x (sin y))

series135.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (* x (sin y)) (* z (cos y)))
35.0ms
(* z (cos y))
35.0ms
(* x (sin y))

simplify74.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune139.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series429.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
91.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
92.0ms
(cbrt (cos y))

simplify102.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune258.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (pow (cos y) 2) 1/3)
0.2b
(* x (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt unpow-prod-down
12×add-cube-cbrt *-un-lft-identity
9×add-exp-log
7×pow1
6×pow-unpow add-cbrt-cube
5×pow-exp
4×add-log-exp
3×cbrt-prod pow-to-exp associate-*r* associate-*l* sqr-pow
2×pow-pow unpow2
1×unpow1/3 pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
5.0ms
(pow (pow (cos y) 2) 1/3)
11.0ms
(* x (sin y))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series290.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(pow (pow (cos y) 2) 1/3)
34.0ms
(* x (sin y))
15.0ms
(pow (cos y) 2)
92.0ms
(cbrt (cos y))

simplify122.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0260327
1900274
23928268
35001267

prune250.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
9.0ms
(* x (sin y))
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series305.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (sin y))
15.0ms
(pow (cos y) 2)
153.0ms
(cbrt (pow (cos y) 2))
96.0ms
(cbrt (cos y))

simplify99.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0203304
1699264
22838255
35002254

prune213.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.6s

Algorithm
intervals
Results
629.0ms1536×body1280valid
313.0ms1275×body640valid
234.0ms4221×body80valid
112.0ms648×body320valid
36.0ms320×body160valid